Verify that the given vector function satisfies the given system.200x=710 x, x(t)=8 0 14et-3e"What is the rule for finding the derivative of a matrix A(t)?dA○ A.dt(b) = A' (b) = ['₁ (%)]dA○ B.dt (to) A' (to) IjA, where Iij is the ijth identity matrix.dAос. (to) A' (to) [a' (to) xAj]dtdA=OD. (to) A (1)= [a' (to)]Find x'.x' =(Type an exact answer in terms of e.)How is the product of two matrices computed?○ A. The product of two matrices A and B is formed by taking the array of dot products of the rows of the first "factor" A with the columns of the second "factor" B; the dot product of the ith row of A with the jth column of B is written as the ijth entry of the productAB.○ B. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the jith entry in matrix B.○ C. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the corresponding ijth entry in matrix B.○ D. The product of two matrices A and B is formed by taking the array of dot products of the columns of the first "factor" A with the rows of the second "factor" B; the dot product of the ith column of A with the jth row of B is written as the ijth entry of the productAB.200Evaluate 7 10x.80 1 200710x=(Type an exact answer in terms of e.)8 0 1200Since x 710x, this completes the verification.801

Question

Verify that the given vector function satisfies the given system.200x=710 x, x(t)=8 0 14et-3e&#34;What is the rule for finding the derivative of a matrix A(t)?dA○ A.dt(b) = A' (b) = ['₁ (%)]dA○ B.dt (to) A' (to) IjA, where Iij is the ijth identity matrix.dAос. (to) A' (to) [a' (to) xAj]dtdA=OD. (to) A (1)= [a' (to)]Find x'.x' =(Type an exact answer in terms of e.)How is the product of two matrices computed?○ A. The product of two matrices A and B is formed by taking the array of dot products of the rows of the first &#34;factor&#34; A with the columns of the second &#34;factor&#34; B; the dot product of the ith row of A with the jth column of B is written as the ijth entry of the productAB.○ B. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the jith entry in matrix B.○ C. The product of two matrices A and B is formed by multiplying the ijth entry in matrix A with the corresponding ijth entry in matrix B.○ D. The product of two matrices A and B is formed by taking the array of dot products of the columns of the first &#34;factor&#34; A with the rows of the second &#34;factor&#34; B; the dot product of the ith column of A with the jth row of B is written as the ijth entry of the productAB.200Evaluate 7 10x.80 1 200710x=(Type an exact answer in terms of e.)8 0 1200Since x 710x, this completes the verification.801

Accepted Answer

To verify x is a solution of the matrix equation we have to find the derivative of the vector x and…

"Verify that the given vector function satisfies the given system. 710x x(t)= 801